• ### What is 1 third of 2.5 litres of paint?

15 answers · 5 hours ago
• ### (4-x)/(x-5) > 1/(1-x)?

Best answer: (4 - x)/(x - 5) > 1/(1 - x) (4 - x)(1 - x) > x - 5 4 - 5x + x^2 > x - 5 x^2 - 6x + 9 > 0 (x - 3)^2 > 0 ---> x =/= 3. Not done yet; x = 1 (excluded value) x = 4 (a zero on the left side), and x = 5 (excluded value) must be used for interval bounds. If x < 1, you have plus/minus > 1/plus... show more
Best answer: (4 - x)/(x - 5) > 1/(1 - x)

(4 - x)(1 - x) > x - 5

4 - 5x + x^2 > x - 5

x^2 - 6x + 9 > 0

(x - 3)^2 > 0 ---> x =/= 3.

Not done yet; x = 1 (excluded value) x = 4 (a zero on the left side), and x = 5 (excluded value) must be used for interval bounds.

If x < 1, you have plus/minus > 1/plus ---> minus > plus. Doesn't work.

If 1 < x < 3, you have plus/minus > 1/minus ---> minus > minus. Doable.

If 3 < x < 4, the same happens as in the previous case (minus > minus). Doable.

If 4 < x < 5, you have minus/minus > 1/minus ---> plus > minus. This works.

If x > 5, you have minus/plus > 1/minus ---> minus > minus. But this fails because you have a number increasing toward -1 that is greater than a negative unit fraction -- a false statement because the negative unit fraction is closer to 0.

Solution interval union should be (1, 3) U (3, 5); 1 < x < 3 or 3 < x < 5 should satisfy the inequality.
7 answers · 1 day ago
• ### How many ounces in a pound?

21 answers · 2 days ago
• ### Is 1998 late 90s?

28 answers · 4 days ago
• ### A Helicopter is traveling 178 miles per hour how long would it take to get to its destination 8 miles away?

10 answers · 3 days ago
• ### A 16-oz jar of peanut butter in the shape of a right circular cylinder is 5in high and 3in in diameter and sells for \$1.60.?

In the same store, a 26-oz jar of the same brand is 5&1/2in high and 3&1/4in in diameter. If the cost is directly proportional to volume, what should the price of the larger jar be? If the cost is directly proportional to weight, what should the price of the larger jar be?
In the same store, a 26-oz jar of the same brand is 5&1/2in high and 3&1/4in in diameter. If the cost is directly proportional to volume, what should the price of the larger jar be? If the cost is directly proportional to weight, what should the price of the larger jar be?
5 answers · 2 days ago
• ### In a class of 50 students, 38 use desktop computers, 16 use laptops. What is the maximum number of students who use both?

Best answer: In the extreme case, all 16 that use laptops could be completely inside the set of students who use desktop computers. In other words, the maximum who use both is 16. As for the minimum, we can't have the two sets being disjoint (no overlap) because 16 + 38 = 54. That means there has to be an overlap of at... show more
Best answer: In the extreme case, all 16 that use laptops could be completely inside the set of students who use desktop computers. In other words, the maximum who use both is 16.

As for the minimum, we can't have the two sets being disjoint (no overlap) because 16 + 38 = 54. That means there has to be an overlap of at least 4 students that use both a laptop and a desktop computer.

Minimum of 4 students
Maximum of 16 students

Update:

If it helps, imagine you have 16 labels that say "laptop" and 38 labels that say "desktop" and you have 50 students.

You could give a "laptop" and a "desktop" label to the same 16 students. That's the maximum you could have --> 16 maximum.
(The remaining 22 "desktop" labels would go to any of the remaining students)
16 (both), 22 (just desktop), 12 (no computer)

And for the other way, you could give all the "laptop" labels to 16 students which leaves 34 students. You could give them 34 of the "desktop" labels but you'd have to give 4 "desktop" labels to those students that already have a "laptop" label. That's the minimum you could have with both --> 4 minimum
4 (both), 34 (just desktop), 12 (just laptop)
8 answers · 3 days ago
• ### How do you determine square footage of a round pool?

it is a 14 foot round pool
it is a 14 foot round pool
12 answers · 2 days ago
• ### If a^= b+c, b^2= c+a and c^2= a+b then find the value of 1/(a+1) + 1/(b+1) + 1/(c+1)=?

7 answers · 18 hours ago
• ### Poll: Which is bigger? A school bus or a city bus? 😍?

Best answer: In my city it would be the school bus, not all cities have the same bus line however.
Best answer: In my city it would be the school bus, not all cities have the same bus line however.
8 answers · 20 hours ago
• ### What is the solution to -16 + 2x= -64?

7 answers · 6 hours ago
• ### 30 is what percent of 20?

15 answers · 3 days ago
• ### What is 1/5+ 1/4?

7 answers · 23 hours ago
• ### Is there a practical limit to the size of ships?

7 answers · 8 hours ago
• ### What is (f+g)(x) where f(x)=5x^2+4, g(x)=6x^2-x?

6 answers · 4 days ago
• ### 8999000000000 in standard index form?

7 answers · 1 day ago
• ### Graph g(x)=2(x-2)^2+5 by transforming the graph of f(x)=x^2. Describe the transformation?

7 answers · 18 hours ago
• ### Please solve and explain math help Solve the equation using the appropriate property. 3(2a+6)+8a=10(a−1)−3a?

6 answers · 21 hours ago
• ### What is the better deal?

27oz for \$31 or 32oz for \$42?
27oz for \$31 or 32oz for \$42?
12 answers · 3 days ago
• ### (1-cos x)(sin x - 1) = 0?

5 answers · 3 hours ago